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Question

People joined the gym for the new year. Some of them only plan to do cardio workouts and some only want to do weight training. 10 of them do both cardio and weight training. If the number of people who do weight training is 21, then how many do cardio, how many do only cardio and how many only do weight training?

A
39, 29 and 11 respectively
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B
40, 10 and 10 respectively
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C
29, 19 and 11 respectively
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D
28, 11 and 19 respectively
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Solution

The correct option is A 39, 29 and 11 respectively

a+b = 21 (given)
Thus, a = 21 - 10 = 11
C = 50-10-11 = 29
So, we get people who do cardio as, b+c = 39
Only cardio as c = 29 and only weight training as a = 11

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